The “shuttle effect” caused by the dissolution and diffusion of polysulfides in an electrolyte solution is the main factor that determines the performance decay for Li-S batteries. To overcome this problem, the electrode materials must be able to capture polysulfides. In this theoretical work, we explored the polysulfide fixation properties of N-substituted defective graphene by performing density functional theory calculations. From an analysis of the numerical results, including the structural configurations and charge redistribution of lithium-sulfides and the binding energies, charge density differences and density of Li₂S_n on graphene-based materials, we explained the mechanism of the dissolution and diffusion of Li₂S_n as well as its immobilization properties on N-substituted defective graphene.